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In the power function f(x) = -2x3, what is the end
behavior of f(x) as x goes to infinity ?
O f(x) → negative infinity
O f(x) → -2
O f(x) → + 0
O f(x) → 2
O f(x) → infinity

Respuesta :

reinhard10158

Answer:

first option f(x) -> negative infinity

Step-by-step explanation:

the other answer is sadly wrong.

there is a "-" in front of the expression.

-2x³ had two parts

-2, which is multiplied to x³

now x³ goes to (positive) infinity for x going to (positive) infinity.

but because this is multiplied by a negative value (-2), all the functional values for positive x are negative.

therefore, the function goes to negative infinity for x going to (positive) infinity.

MrRoyal

The end behavior of f(x) as x goes to infinity is (a) f(x) → negative infinity

How to determine the end behavior of the function?

The function is given as:

f(x) = -2x^3

Next, we plot the graph of the function (see attachment)

From the graph, we can see that as the x values increase to infinity, the function values approaches negative infinity

Hence, the end behavior of f(x) as x goes to infinity is (a) f(x) → negative infinity

Read more about end behavior at:

https://brainly.com/question/11275875

Ver imagen MrRoyal

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